o
    Ðeª  ã                   @   sL   d dl mZmZmZ d dlmZ d dlmZ d dlm	Z	 G dd„ deƒZ
dS )é    )Ú
AtomicExprÚSymbolÚS)Ú_sympify)Ú
prettyForm)Ú
PRECEDENCEc                       sr   e Zd ZdZd‡ fdd„	ZdZdZedd„ ƒZdZ	dd	„ Z
dd
d„Zddd„Zed Zedd„ ƒZdd„ Z‡  ZS )Ú
BaseScalarzb
    A coordinate symbol/base scalar.

    Ideally, users should not instantiate this class.

    Nc                    sÜ   ddl m} |d u rd |¡}nt|tƒr|j}|d u r"d |¡}nt|tƒr*|j}t|ƒ}t|ƒ}tƒ  | ||¡}t||ƒsCt	dƒ‚|t
ddƒvrNtdƒ‚||f|_|jd |j|   |_|_d	| |_||_||_|S )
Nr   )Ú
CoordSys3Dzx{}zx_{}zsystem should be a CoordSys3Dé   zInvalid index specified.Ú.Ú )Zsympy.vector.coordsysrectr	   ÚformatÚ
isinstancer   Únamer   ÚsuperÚ__new__Ú	TypeErrorÚrangeÚ
ValueErrorZ_idÚ_nameZ_variable_namesÚ_pretty_formÚ_latex_formÚ_system)ÚclsÚindexÚsystemÚ
pretty_strZ	latex_strr	   Úobj©Ú	__class__© úCD:\Projects\ConvertPro\env\Lib\site-packages\sympy/vector/scalar.pyr      s,   




zBaseScalar.__new__Tc                 C   s   | hS ©Nr    ©Úselfr    r    r!   Úfree_symbols-   ó   zBaseScalar.free_symbolsc                 C   s   | |krt jS t jS r"   )r   ZOneZZero)r$   Úsr    r    r!   Ú_eval_derivative3   s   zBaseScalar._eval_derivativec                 C   ó   | j S r"   )r   ©r$   Úprinterr    r    r!   Ú_latex8   ó   zBaseScalar._latexc                 C   s
   t | jƒS r"   )r   r   r*   r    r    r!   Ú_pretty;   s   
zBaseScalar._prettyZAtomc                 C   r)   r"   )r   r#   r    r    r!   r   @   r&   zBaseScalar.systemc                 C   r)   r"   )r   r*   r    r    r!   Ú	_sympystrD   r-   zBaseScalar._sympystr)NNr"   )Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   Zis_commutativeZ	is_symbolÚpropertyr%   Z	_diff_wrtr(   r,   r.   r   Ú
precedencer   r/   Ú__classcell__r    r    r   r!   r      s    



r   N)Z
sympy.corer   r   r   Zsympy.core.sympifyr   Z sympy.printing.pretty.stringpictr   Zsympy.printing.precedencer   r   r    r    r    r!   Ú<module>   s
    